Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow from the statements.
Statements:
1. Some Books are Pencils.
2. All Pencils are Sharpeners.
3. All Books are Bags.
Conclusions:
I. Some Bags are Sharpeners.
II. Some Sharpeners are Books.
III. Some Sharpeners are Pencils.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1, i.e., all conclusions I, II, and III follow.
Conclusions:
I. Some Bags are Sharpeners → Follows (some Books are Pencils are Sharpeners, and all Books are inside Bags. Therefore, some Bags (those containing Books) are also Sharpeners.)
II. Some Sharpeners are Books → Follows (From (1) and (2): Some Books are Pencils, and all Pencils are Sharpeners. So, some Books are Sharpeners.)
III. Some Sharpeners are Pencils → Follows (From (2): All Pencils are Sharpeners. So, naturally, some Sharpeners are Pencils (since "all" includes "some")